Finally, we have sufficient and full accounts of the outward forms observed by the Pythagoreans in their common life and also of their discipline. For much of this, however, we are indebted to the impressions of later writers. In the league, a life regulated in all respects was advocated. First of all, it is told us, that the members made themselves known by a similar dress—the white linen of Pythagoras. They had a very strict order for each day, of which each hour had its work. The morning, directly after rising, was set aside for recalling to memory the history of the previous day, because what is to be done in the day depends chiefly on the previous day; similarly the most constant self-examination was made the duty of the evening in order to find whether the deeds done in the day were right or wrong. True culture is not the vanity of directing so much attention to oneself and occupying oneself with oneself as an individual, but the self-oblivion that absorbs oneself in the matter in hand and in the universal; it is this consideration of the thing in hand that is alone essential, while that dangerous, useless, anxious state does away with freedom. They had also to learn by heart from Homer and from Hesiod; and all through the day they occupied themselves much with music—one of the principal parts of Greek education and culture.[37] Gymnastic exercises in wrestling, racing, throwing, and so on, were with them also enforced by rule. They dined together, and here, too, they had peculiar customs, but of these the accounts are different. Honey and bread were made their principal food, and water the principal, and indeed only, drink; they must thus have entirely refrained from eating meat as being associated with metempsychosis. A distinction was also made regarding vegetables—beans, for example, being forbidden. On account of this respect for beans, they were much derided, yet in the subsequent destruction of the political league, several Pythagoreans, being pursued, preferred to die than to damage a field of beans.[38]
The order, the moral discipline which characterized them, the common intercourse of men, did not, however, endure long; for even in Pythagoras’ life-time the affairs of his league must have become involved, since he found enemies who forcibly overthrew him. He drew down upon him, it is said, the envy of others, and was accused of thinking differently from what he seemed to indicate, and thus of having an arrière pensée. The real fact of the case was that the individual belonged, not entirely to his town, but also to another. In this catastrophe, Pythagoras himself, according to Tennemann (Vol. I. p. 414), met his death in the 69th Olympiad (504, B.C.) in a rising of the people against these aristocrats; but it is uncertain whether it happened in Crotona or in Metapontum, or in a war between the Syracusans and the Agrigentines. There is also much difference of opinion about the age of Pythagoras, for it is given sometimes as 80, and sometimes as 104.[39] For the rest, the unity of the Pythagorean school, the friendship of the members, and the connecting bond of culture have even in later times remained, but not in the formal character of a league, because what is external must pass away. The history of Magna Græcia is in general little known, but even in Plato’s[40] time we find Pythagoreans appearing at the head of states or as a political power.
The Pythagorean brotherhood had no relation with Greek public and religious life, and therefore could not endure for long: in Egypt and in Asia exclusiveness and priestly influence have their home, but Greece, in its freedom, could not let the Eastern separation of caste exist. Freedom here is the principle of civic life, but still it is not yet determined as principle in the relations of public and private law. With us the individual is free since all are alike before the law; diversity in customs, in political relations and opinions may thus exist, and must indeed so do in organic states. In democratic Greece, on the contrary, manners, the external mode of life, necessarily preserved a certain similarity, and the stamp of similarity remained impressed on these wider spheres; for the exceptional condition of the Pythagoreans, who could not take their part as free citizens, but were dependent on the plans and ends of a combination and led an exclusive religious life, there was no place in Greece. The preservation of the mysteries certainly belonged to the Eumolpidæ, and other special forms of worship to other particular families, but they were not regarded in a political sense as of fixed and definite castes, but as priests usually are, politicians, citizens, men like their fellows; nor, as with the Christians, was the separation of religious persons driven to the extreme of monastic rule. In ordinary civic life in Greece, no one could prosper or maintain his position who held peculiar principles, or even secrets, and differed in outward modes of life and clothing; for what evidently united and distinguished them was their community of principles and life—whether anything was good for the commonwealth or not, was by them publicly and openly discussed. The Greeks are above having particular clothing, maintaining special customs of washing, rising, practising music, and distinguishing between pure and impure foods. This, they say, is partly the affair of the particular individual and of his personal freedom, and has no common end in view, and partly it is a general custom and usage for everybody alike.
What is most important to us is the Pythagorean philosophy—not the philosophy of Pythagoras so much as that of the Pythagoreans, as Aristotle and Sextus express it. The two must certainly be distinguished, and from comparing what is given out as Pythagorean doctrine, many anomalies and discrepancies become evident, as we shall see. Plato bears the blame of having destroyed Pythagorean philosophy through absorbing what is Pythagorean in it into his own. But the Pythagorean philosophy itself developed to a point which left it quite other than what at first it was. We hear of many followers of Pythagoras in history who have arrived at this or that conclusion, such as Alcmæon and Philolaus; and we see in many cases the simple undeveloped form contrasted with the further stages of development in which thought comes forth in definiteness and power. We need, however, go no further into the historical side of the distinction, for we can only consider the Pythagorean philosophy generally; similarly we must separate what is known to belong to the Neo-Platonists and Neo-Pythagoreans, and for this end we have sources to draw from which are earlier than this period, namely the express statements found in Aristotle and Sextus.
The Pythagorean philosophy forms the transition from realistic to intellectual philosophy. The Ionic school said that essence or principle is a definite material. The next conclusion is (α) that the absolute is not grasped in natural form, but as a thought determination. (β) Then it follows that determinations must be posited while the beginning was altogether undetermined. The Pythagorean philosophy has done both.
1. The System of Numbers. Thus the original and simple proposition of the Pythagorean philosophy is, according to Aristotle (Metaph. I. 5), “that number is the reality of things, and the constitution of the whole universe in its determinations is an harmonious system of numbers and of their relations.” In what sense is this statement to be taken? The fundamental determination of number is its being a measure; if we say that everything is quantitatively or qualitatively determined, the size and measure is only one aspect or characteristic which is present in everything, but the meaning here is that number itself is the essence and the substance of things, and not alone their form. What first strikes us as surprising is the boldness of such language, which at once sets aside everything which to the ordinary idea is real and true, doing away with sensuous existence and making it to be the creation of thought. Existence is expressed as something which is not sensuous, and thus what to the senses and to old ideas is altogether foreign, is raised into and expressed as substance and as true Being. But at the same time the necessity is shown for making number to be likewise Notion, to manifest it as the activity of its unity with Being, for to us number does not seem to be in immediate unity with the Notion.
Now although this principle appears to us to be fanciful and wild, we find in it that number is not merely something sensuous, therefore it brings determination with it, universal distinctions and antitheses. The ancients had a very good knowledge of these. Aristotle (Metaph. I. 6) says of Plato: “He maintained that the mathematical elements in things are found outside of what is merely sensuous, and of ideas, being between both; it differs from what is sensuous in that it is eternal and unchangeable, and from ideas, in that it possesses multiplicity, and hence each can resemble and be similar to another, while each idea is for itself one alone.” That is, number can be repeated; thus it is not sensuous, and still not yet thought. In the life of Pythagoras, this is further said by Malchus (46, 47): “Pythagoras propounded philosophy in this wise in order to loose thought from its fetters. Without thought nothing true can be discerned or known; thought hears and sees everything in itself, the rest is lame and blind. To obtain his end, Pythagoras makes use of mathematics, since this stands midway between what is sensuous and thought, as a kind of preliminary to what is in and for itself.” Malchus quotes further (48, 53) a passage from an early writer, Moderatus: “Because the Pythagoreans could not clearly express the absolute and the first principles through thought, they made use of numbers, of mathematics, because in this form determinations could be easily expressed.” For instance, similarity could be expressed as one, dissimilarity as two. “This mode of teaching through the use of numbers, whilst it was the first philosophy, is superseded on account of its mysterious nature. Plato, Speusippus, Aristotle, &c., have stolen the fruits of their work from the Pythagoreans by making a simple use of their principle.” In this passage a perfect knowledge of numbers is evident.
The enigmatic character of the determination through number is what most engages our attention. The numbers of arithmetic answers to thought-determinations, for number has the “one” as element and principle; the one, however, is a category of being-for-self, and thus of identity with self, in that it excludes all else and is indifferent to what is “other.” The further determinations of number are only further combinations and repetitions of the one, which all through remains fixed and external; number, thus, is the most utterly dead, notionless continuity possible; it is an entirely external and mechanical process, which is without necessity. Hence number is not immediate Notion, but only a beginning of thought, and a beginning in the worst possible way; it is the Notion in its extremest externality, in quantitative form, and in that of indifferent distinction. In so far, the one has within itself both the principle of thought and that of materiality, or the determination of the sensuous. In order that anything should have the form of Notion, it must immediately in itself, as determined, relate itself to its opposite, just as positive is related to negative; and in this simple movement of the Notion we find the ideality of differences and negation of independence to be the chief determination. On the other hand, in the number three, for instance, there are always three units, of which each is independent; and this is what constitutes both their defect and their enigmatic character. For since the essence of the Notion is innate, numbers are the most worthless instruments for expressing Notion-determinations.
Now the Pythagoreans did not accept numbers in this indifferent way, but as Notion. “At least they say that phenomena must be composed of simple elements, and it would be contrary to the nature of things if the principle of the universe pertained to sensuous phenomena. The elements and principles are thus not only intangible and invisible, but altogether incorporeal.”[41] But how they have come to make numbers the original principle or the absolute Notion, is better shown from what Aristotle says in his Metaphysics (I. 5), although he is shorter than he would have been, because he alleges that elsewhere (infra., p. 214) he has spoken of it. “In numbers they thought that they perceived much greater similitude to what is and what takes place than in fire, water, or earth; since a certain property of numbers (τοιονδὶ πάθος) is justice, so is it with (τοιονδὶ) the soul and understanding; another property is opportunity, and so on. Since they further saw the conditions and relations of what is harmonious present in numbers, and since numbers are at the basis of all natural things, they considered numbers to be the elements of everything, and the whole heavens to be a harmony and number.” In the Pythagoreans we see the necessity for one enduring universal idea as a thought-determination. Aristotle (Met. XII. 4), speaking of ideas, says: “According to Heraclitus, everything sensuous flows on, and thus there cannot be a science of the sensuous; from this conviction the doctrine of ideas sprang. Socrates is the first to define the universal through inductive methods; the Pythagoreans formerly concerned themselves merely with a few matters of which they derived the notions from numbers—as, for example, with what opportuneness, or right, or marriage are.” It is impossible to discern what interest this in itself can have; the only thing which is necessary for us as regards the Pythagoreans, is to recognize any indications of the Idea, in which there may be a progressive principle.